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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-39/8, b>=a > For fixed z and a=-39/8, b=21/8





http://functions.wolfram.com/07.23.03.bac4.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, -(19/4), z] == (1/(33440 2^(3/4) (-1 + z)^2)) ((1 + Sqrt[1 - z])^(3/4) (16720 + 14740 z + 14641 z^2 + 16263 z^3 + 21792 z^4 - 515328 z^5 + 405504 z^6 + (1/Sqrt[1 - z]) (16720 + 6380 z + 5181 z^2 + 6055 z^3 + 10256 z^4 + 597888 z^5 - 1148928 z^6 + 540672 z^7)))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02